SOLUTION: Not understanding how to solve this type of problem... In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hyp

Question 168699: Not understanding how to solve this type of problem...
In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call x the hypothenuse and sides a, a+1(because one side is one unit longer)
:
we know that but we also know that P=a+a+1+x::: 12=2a+1+x
:
x=11-2a----. plug this value into the 1st equation.
:
solve for a

:
divide by 2
:
factor
:

x=11-2a....11-2(20)=-29 so throw that out as its a negative length
...........11-2(3)=5
so one side is 3 the other side is 4 and the hypothenuse is 5
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